Hwang L'Hopital - g grows faster than f if lim x f ( x ) g...

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Holy Cross College, Fall Semester, 2003 Math 131, Professor Hwang Worksheet for Thurssday, November 6 Calculate the following limits: lim x 1 ln x x - 1 , lim x 0 1 - cos x x , lim x 0 e x - 1 - x x 2 , lim x 0 x - sin x x 3 . lim x →∞ x e x , lim x →∞ x 2 e x , lim x →∞ x n e x ( n > 0) . lim x →∞ ln x x , lim x →∞ ln x x , lim x →∞ ln x x 0 . 001 . We say that “
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Unformatted text preview: g grows faster than f if lim x f ( x ) g ( x ) = 0. Put the functions below in increasing order of growth rate. e x , ln(ln x ) , x 100 , e x 2 , x 1 / 2 , ln x, e 2 x , 1000 x 10 , x x...
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